( + ) ÷ ( + ) = ( + ) ( – ) ÷ ( – ) = ( + ) simplify the following. ( + ) ÷ ( – ) = ( – )...
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![Page 1: ( + ) ÷ ( + ) = ( + ) ( – ) ÷ ( – ) = ( + ) Simplify the following. ( + ) ÷ ( – ) = ( – ) ( – ) ÷ ( + ) = ( – ) 1) – 54 ÷ ( – 9 )= 6 2) – 48 ÷ 6= – 8 3)](https://reader036.vdocument.in/reader036/viewer/2022082711/56649efb5503460f94c0d787/html5/thumbnails/1.jpg)
( + ) ÷ ( + ) = ( + ) ( – ) ÷ ( – ) = ( + )
Simplify the following.
( + ) ÷ ( – ) = ( – ) ( – ) ÷ ( + ) = ( – )
1) – 54 ÷ ( – 9 ) = 6
2) – 48 ÷ 6 = – 8
3) 81 ÷ ( – 9 ) = – 9
4) – 144 ÷ ( – 12 ) = 12
5) – 6 ÷ ( – 8 ) = 3 / 4
![Page 2: ( + ) ÷ ( + ) = ( + ) ( – ) ÷ ( – ) = ( + ) Simplify the following. ( + ) ÷ ( – ) = ( – ) ( – ) ÷ ( + ) = ( – ) 1) – 54 ÷ ( – 9 )= 6 2) – 48 ÷ 6= – 8 3)](https://reader036.vdocument.in/reader036/viewer/2022082711/56649efb5503460f94c0d787/html5/thumbnails/2.jpg)
0.09
SquareRoots
![Page 3: ( + ) ÷ ( + ) = ( + ) ( – ) ÷ ( – ) = ( + ) Simplify the following. ( + ) ÷ ( – ) = ( – ) ( – ) ÷ ( + ) = ( – ) 1) – 54 ÷ ( – 9 )= 6 2) – 48 ÷ 6= – 8 3)](https://reader036.vdocument.in/reader036/viewer/2022082711/56649efb5503460f94c0d787/html5/thumbnails/3.jpg)
A perfect square number is a number that results from squaring
the counting numbers.
When you square a number you raise that number to the second power.
12 = 1 , 22 = 4 , 32 = 9 , 42 = 16 , …
Perfect Squares: 1 , 4 , 9 , 16 , 25 , 36 ,
49 , 64 , 81 , 100 , 121 , 144 , 169 , …
![Page 4: ( + ) ÷ ( + ) = ( + ) ( – ) ÷ ( – ) = ( + ) Simplify the following. ( + ) ÷ ( – ) = ( – ) ( – ) ÷ ( + ) = ( – ) 1) – 54 ÷ ( – 9 )= 6 2) – 48 ÷ 6= – 8 3)](https://reader036.vdocument.in/reader036/viewer/2022082711/56649efb5503460f94c0d787/html5/thumbnails/4.jpg)
A Square Root Symbol
means “ the square root of x“
By definition
= k
such that k2 = x
= 6 because 62 = 36
= 8 because 82 = 64
36
64
x
x
![Page 5: ( + ) ÷ ( + ) = ( + ) ( – ) ÷ ( – ) = ( + ) Simplify the following. ( + ) ÷ ( – ) = ( – ) ( – ) ÷ ( + ) = ( – ) 1) – 54 ÷ ( – 9 )= 6 2) – 48 ÷ 6= – 8 3)](https://reader036.vdocument.in/reader036/viewer/2022082711/56649efb5503460f94c0d787/html5/thumbnails/5.jpg)
When taking the square root of a perfect square, the answer will be a positive integer.
= 5
= 10
Some numbers are not perfect squares, we can approximate the square root by determining what two numbers the square root lies between.
is between 4 and 5
is between 7 and 8
is between 9 and 10
25
100
20
56
88
![Page 6: ( + ) ÷ ( + ) = ( + ) ( – ) ÷ ( – ) = ( + ) Simplify the following. ( + ) ÷ ( – ) = ( – ) ( – ) ÷ ( + ) = ( – ) 1) – 54 ÷ ( – 9 )= 6 2) – 48 ÷ 6= – 8 3)](https://reader036.vdocument.in/reader036/viewer/2022082711/56649efb5503460f94c0d787/html5/thumbnails/6.jpg)
Try This:
= 7
= 12
Find the 2 numbers that the following square root lies between.
is between 4 and 5
is between 8 and 9
is between 6 and 7
49
144
19
68
39